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mash [69]
2 years ago
13

Complete the sentence below. If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)(???????) =???? .

Mathematics
2 answers:
g100num [7]2 years ago
7 0

Answer: The answer is (x+7)(3x+1)=33x^2+22x+7.

Step-by-step explanation: Given that

(3x2 + 22x + 7) \div(x + 7) = 3x + 1,

and we are to complete the following sentence:

(x+7)(???)=???

We have the following division algorithm for polynomials

\textup{If }a(x)\times b(x)=c(x),\\\textup{then, we have }\\\\\dfrac{c(x)}{b(x)}=a(x)~~~~~\textup{or}~~~~~~c(x)\div b(x)=a(x).

Here, a(x) = quotient, b(x) = divisor and c(x) = dividend.

Applying this rule in the given problem, we have

\textup{since }(3x2 + 22x + 7) \div(x + 7) = 3x + 1,\\\\\textup{so, }\\\\(x+7)(3x+1)=3x^2+22x+7=0.

Thus, the complete sentence is

(x+7)(3x+1)=3x^2+22x+7=0.

svetoff [14.1K]2 years ago
3 0

Answer:

3x+1, 3x^2+22x+7, and closure

Step-by-step explanation:

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Answer:

A. y + 1 = -2(x-2)

Step-by-step explanation:

point-slope equation is : y - y1 = m (x -x1)

remember m= slope value

the given point is (2, -1) therefore we can substitute the values in:

y + 1 = m(x -2)

now to make sure our answer is complete we will solve for the slope:

looking back at the graph, the y-intercept value is 3, therefore we have a point of (0,3) and (2, -1)

with any two points you can determine a slope.

y2 - y1 / x2 - x1

therefore :

-1 -3 / 2 - 0

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therefore our m value is -2

this makes the completed point-slope equation:

y + 1 = -2 (x - 2) or A

3 0
1 year ago
In previous months, you ordered 80 boxes of pens per month. This month, you want to decrease the number of boxes of pens you ord
Lapatulllka [165]
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Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost a
Leto [7]

Answer:

2.45c + 1.65c = 4.12 + 0.75

Step-by-step explanation:

To write an equation to find the value for c, we need to declare what c is first.

c = price of fruit

2.45c + 1.65c = 4.12 + 0.75

Now we multiplied c to 2.45 and 1.65 and added them together, because whatever the value of c is will give us the equivalence of the sum of 4.12 + 0.75.

Now to check if the equation is right, let's solve for c.

2.45c + 1.65c = 4.12 + 0.75

4.1c = 4.87

Now to get the value of c, we divide both sides of the equation by 4.1.

\dfrac{4.1c}{4.1}=\dfrac{4.87}{4.1}

c = 1.19

Now let's substitute the value of c in the equation to see if we got it right.

2.45(1.19) + 1.65(1.19) = 4.12 + 0.75

2.92 + 1.96 = 4.87

4.87 = 4.87

Therefore concluding that the value of c is 1.19.

7 0
2 years ago
Math 9:The floor of conference hall can be covered completely with tiles. Its length is 36 ft longer than its width. The area of
valentina_108 [34]
What is the question?
I'm assuming it is to find the length and width.
+_= plus or minus
(X+36)
____________
| |
(X) | |
|____________|

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-----------------------------------
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8 0
2 years ago
A new technology for the production of integrated circuits is being mastered. The technology will be rejected if the percentage
max2010maxim [7]

Answer:

5901

Step-by-step explanation:

The margin of error is the critical value times the standard error.

ME = CV × SE

For α = 0.05, the critical value is z = 1.96.

The standard error of a proportion is √(pq/n).  Given p = 0.04, then q = 1−p = 0.96.

The margin of error is 0.5% or 0.005.

Plugging in:

0.005 = 1.96 √(0.04 × 0.96 / n)

n ≈ 5901

8 0
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